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I don't see why not, it's only when you yourself are roaming that there can be problems. That's assuming your provider has a roaming agreement which they almost certainly have.
You can send SMS messages pretty much anywhere around the world now, most of the mobile Telco's now have interoprability agreements with other telco's abroad.
I would think it would work fine - I've been text messaging my daughter in the UK from NZ - just needed to know each other's full international dial code.